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Finding the Fourth Proportional to 9,189.72, 13,792.74 and 6,060.96

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Solution

The fourth proportional to 9,189.72, 13,792.74 and 6,060.96 is: 9,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.72 : 13,792.74 = 6,060.96 : x
  2. Step 2: Convert to fraction form
    9,189.72/13,792.74 = 6,060.96/x
  3. Step 3: Cross multiply
    9,189.72x = 13,792.74 × 6,060.96
  4. Step 4: Simplify right side
    9,189.72x = 83,597,245.43
  5. Step 5: Solve for x
    x = 83,597,245.43/9,189.72
  6. Step 6: Final answer
    x = 9,096.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.